1213825600 has 189 divisors, whose sum is σ = 3283186347. Its totient is φ = 441492480.

The previous prime is 1213825597. The next prime is 1213825603. The reversal of 1213825600 is 65283121.

The square root of 1213825600 is 34840.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1213825597) and next prime (1213825603).

It can be written as a sum of positive squares in 4 ways, for example, as 312865344 + 900960256 = 17688^2 + 30016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1213825603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18116767 + ... + 18116833.

Almost surely, 2^1213825600 is an apocalyptic number.

1213825600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1213825600 is the 34840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213825600

1213825600 is an abundant number, since it is smaller than the sum of its proper divisors (2069360747).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1213825600 is an equidigital number, since it uses as much as digits as its factorization.

1213825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The cubic root of 1213825600 is about 1066.7240767711.

The spelling of 1213825600 in words is "one billion, two hundred thirteen million, eight hundred twenty-five thousand, six hundred".